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Solve the following rational equations; be sure to check for extraneous solutions (solve all please):   A) (2x/x-3) + (3/x-2) = (6/x^2 -5x+6)   B) (3/x-2) = (x+2...

A small publishing company is planning to publish 2 books this month:  book A and book B. The publishing cost is \$6 each for books and \$8 each for book B. The total cost can be no more than \$7200...

I'm doing a problem with functions and it's asking me to find f(a+7) and simplify. The original problem is f(x)=x+5/(x-8)^2...I plugged in f(a+7) and came up with this f(a+7)=(a+7)+5/((a+7)-8)^2...

The number of guests g in a water park t hours after 9 am is given by g(t) = –32t2 + 224t + 263 for 0 ≤ t ≤ 8. (t = 0 corresponds to 9 am) Find and interpret the average rate...

6.  Luke wants to purchase custom-made mugs to advertise his business. Two companies offer different deals: Company A: Pay a design fee of \$50.00, plus \$4.50 per mug or Company B: Pay...

Rosario runs a restaurant that sells a large order of French fries for \$2.99. If Rosario knows that she is making approximately 62% profit on every order of large French fries, how much does a large...

At the game, the Junior class sold slices of pizza for \$.75 each and hamburgers for \$1.35 each. They sold 40 more slices of pizza than hamburgers and their sales totaled \$292.50. How many slices of...

I have 1 more if that isn't being a bother. Two angles are complementary if the sum of their measures is 90. Find the measures of the two if one angle is 5 times the other angle. Thank you,...